Question

What is the frequency of a particular type of radiation in hertz given that the wavelength is 4.40 times 10

Answer 1

Answer:

$Frequency=6.81\times 10^{14}\ Hz$

Explanation:

The relation between frequency and wavelength is shown below as:

$c=frequency\times Wavelength$

c is the speed of light having value $2.998\times 10^8\ m/s$

Given, Wavelength = $4.40\times 10^{2}$ nm

Also, 1 m = $10^{-9}$ nm

So,  

Wavelength = $440\times 10^{-9}$ m

Thus, Frequency is:

$Frequency=\frac{c}{Wavelength}$

$Frequency=\frac{2.998\times 10^8}{440\times 10^{-9}}\ Hz$

$Frequency=6.81\times 10^{14}\ Hz$

Answer 2

The frequency of the radiation is 6.81×10¹⁴ Hz

To solve the question given above, we'll begin by converting 4.40×10² nm to m. This can be obtained as follow:

1 nm = 1×10¯⁹ m

Therefore,

4.40×10² nm = 4.40×10² × 1×10¯⁹

4.40×10² nm = 4.40×10¯⁷ m

Finally, we shall determine the frequency of the radiation as follow:

Wavelength = 4.40×10¯⁷ m

Velocity = 2.998×10⁸ m/s

Frequency =?

Velocity = wavelength × frequency

2.998×10⁸ = 4.40×10¯⁷ × frequency

Divide both side by 4.40×10¯⁷

Frequency = 2.998×10⁸ / 4.40×10¯⁷

Frequency = 6.81×10¹⁴ Hz

Therefore, the frequency of the radiation is 6.81×10¹⁴ Hz

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